105821952 has 72 divisors (see below), whose sum is σ = 283347456. Its totient is φ = 35060736.

The previous prime is 105821927. The next prime is 105821959. The reversal of 105821952 is 259128501.

It is a super-2 number, since 2×105821952² = 22396571050180608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105821959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174033 + ... + 174639.

Almost surely, 2^105821952 is an apocalyptic number.

105821952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105821952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141673728).

105821952 is an abundant number, since it is smaller than the sum of its proper divisors (177525504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105821952 is an equidigital number, since it uses as much as digits as its factorization.

105821952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 105821952 is about 10286.9797316802. The cubic root of 105821952 is about 472.9972213244.

The spelling of 105821952 in words is "one hundred five million, eight hundred twenty-one thousand, nine hundred fifty-two".